Despite the canonical \(\Lambda \) CDM has proven to provide an excellent fit to a wide range of cosmological data[1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, there are some tensions among the values of cosmological parameters inferred from different datasets. The most striking one is between the value of the Hubble constant \(H_0\)  inferred from Planck Cosmic Microwave Background (CMB) data and direct local distance ladder measurements. The former has been measured by the Planck satellite, with the Planck collaboration reporting \(H_0=67.4\pm 0.5\)  km/s/Mpc [10]}, which is at 4.4\(\sigma \)  difference to value measured by the Hubble Space Telescope (HST), \(H_0=74\pm 1.4\)  km/s/Mpc(measurement denoted as R19 hereafter) [12]}.
